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Finding the Fourth Proportional to 594,215.16, 820,014.56 and 322,281.96

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Solution

The fourth proportional to 594,215.16, 820,014.56 and 322,281.96 is: 444,747.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,215.16 : 820,014.56 = 322,281.96 : x
  2. Step 2: Convert to fraction form
    594,215.16/820,014.56 = 322,281.96/x
  3. Step 3: Cross multiply
    594,215.16x = 820,014.56 × 322,281.96
  4. Step 4: Simplify right side
    594,215.16x = 264,275,899,625.34
  5. Step 5: Solve for x
    x = 264,275,899,625.34/594,215.16
  6. Step 6: Final answer
    x = 444,747.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.